Finite Group Databasebeta

← #3201×D73 #33956662

Subgroups — #3201×D73 #33956662

Order 18688.

2186 conjugacy classes of subgroups.

The subgroup lattice has 1918 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#537×D73C211yesmaximal, characteristic
2#536×D73C211yesmaximal, characteristic, complemented
3#22620820C211yesmaximal, characteristic, complemented
4#22620819C211yesmaximal, characteristic, complemented
5#22620818C211yesmaximal, characteristic, complemented
6#22620817C211yesmaximal, characteristic, complemented
7#22620816C211yesmaximal, characteristic, complemented
8#22620815C211yesmaximal, characteristic, complemented
9#22620814C211yesmaximal, characteristic, complemented
10#22620813C211yesmaximal, characteristic, complemented
11#22620812C211yesmaximal, characteristic, complemented
12#22620811C211yesmaximal, characteristic, complemented
13#22620810C211yesmaximal, characteristic, complemented
14#22620809C211yesmaximal, characteristic, complemented
15#22620808C211yesmaximal, characteristic, complemented
16#22620807C211yesmaximal, characteristic, complemented
17#22620806C211yesmaximal, characteristic, complemented
18#484×D73C211yesmaximal, characteristic, complemented
19#485×D73C211yesmaximal, characteristic, complemented
20#482×D73C211yesmaximal, characteristic, complemented
21#483×D73C211yesmaximal, characteristic, complemented
22#470×D73C211yesmaximal, characteristic, complemented
23#468×D73C211yesmaximal, characteristic, complemented
24#467×D73C211yesmaximal, characteristic, complemented
25#465×D73C211yesmaximal, characteristic, complemented
26#452×D73C211yesmaximal, characteristic, complemented
27#452×D73C211yesmaximal, characteristic, complemented
28#451×D73C211yesmaximal, characteristic, complemented
29#448×D73C211yesmaximal, characteristic, complemented
30#408×D73C211yesmaximal, characteristic, complemented
31C73×#3201C211yesmaximal, characteristic, complemented
32C2×#41×D73C2211yescharacteristic
33C2×#41×D73C2211yescharacteristic
34C22×Q8×D73C2211yescharacteristic
35C2×Q16×D73C2211yescharacteristic
36C2×Q16×D73C2211yescharacteristic
37C2×SD16×D73C2211yescharacteristic
38C2×SD16×D73C2211yescharacteristic
39C2×M16×D73C2211yescharacteristic
40C22×C8×D73C2211yescharacteristic
41#17989168C2211yescharacteristic
42#17989167—21no—
43#17989167C2211yescharacteristic
44#17989167C2211yescharacteristic
45#17989166—21no—
46#17989166C2211yescharacteristic
47#17989166C2211yescharacteristic
48#17989165C2211yescharacteristic
49#17989165C2211yescharacteristic
50#17989164—21no—
51#17989164—21no—
52#17989163C2211yescharacteristic, complemented
53#17989162—21no—
54#17989161C2211yescharacteristic, complemented
55#17989160C2211yescharacteristic, complemented
56#17989160C2211yescharacteristic, complemented
57#17989160C2211yescharacteristic, complemented
58#17989160C2211yescharacteristic, complemented
59#17989159—21no—
60#17989159—21no—
61#17989158C2211yescharacteristic, complemented
62#17989157—21no—
63C4⋊Q8×D73—21no—
64#124×D73—21no—
65#123×D73—21no—
66#123×D73—21no—
67C22⋊Q8×D73—21no—
68C22⋊Q8×D73C2211yescharacteristic
69C22⋊Q8×D73C2211yescharacteristic
70C22⋊Q8×D73C2211yescharacteristic
71C22⋊Q8×D73C2211yescharacteristic
72C22⋊Q8×D73C2211yescharacteristic
73C22⋊Q8×D73C2211yescharacteristic
74#121×D73—21no—
75#121×D73—21no—
76#121×D73—21no—
77#121×D73C2211yescharacteristic
78#121×D73C2211yescharacteristic
79#117×D73C2211yescharacteristic
80C2×C4⋊C4×D73C2211yescharacteristic
81#17988931C2211yescharacteristic, complemented
82#17988930C2211yescharacteristic, complemented
83#17988929C2211yescharacteristic, complemented
84#17988928C2211yescharacteristic, complemented
85#17988927C2211yescharacteristic, complemented
86#17988926C2211yescharacteristic, complemented
87#17988925C2211yescharacteristic, complemented
88#17988924C2211yescharacteristic, complemented
89#17988924C2211yescharacteristic, complemented
90#17988923C2211yescharacteristic, complemented
91#17988922C2211yescharacteristic, complemented
92#17988921C2211yescharacteristic, complemented
93#17988921C2211yescharacteristic, complemented
94#17988920C2211yescharacteristic, complemented
95#17988919C2211yescharacteristic, complemented
96#17988919C2211yescharacteristic, complemented
97#17988918C2211yescharacteristic, complemented
98#17988917C2211yescharacteristic, complemented
99#17988916C2211yescharacteristic, complemented
100#17988916C2211yescharacteristic, complemented
101#17988915C2211yescharacteristic, complemented
102#17988914C2211yescharacteristic, complemented
103#17988913C2211yescharacteristic, complemented
104#17988912C2211yescharacteristic, complemented
105#17988911C2211yescharacteristic, complemented
106#17988910C2211yescharacteristic, complemented
107#17988909C2211yescharacteristic, complemented
108#17988908C2211yescharacteristic, complemented
109#17988846C2211yescharacteristic, complemented
110#17988845C2211yescharacteristic, complemented
111#17988844C2211yescharacteristic, complemented
112#17988844C2211yescharacteristic, complemented
113#17988843C2211yescharacteristic, complemented
114#17988843C2211yescharacteristic, complemented
115#17988842C2211yescharacteristic, complemented
116#17988836C2211yescharacteristic, complemented
117#17988835C2211yescharacteristic, complemented
118#17988834C2211yescharacteristic, complemented
119#17988833C2211yescharacteristic, complemented
120#17988832C2211yescharacteristic, complemented
121#17988831C2211yescharacteristic, complemented
122#17988830C2211yescharacteristic, complemented
123#17988829C2211yescharacteristic, complemented
124#17988828C2211yescharacteristic, complemented
125#17988827C2211yescharacteristic, complemented
126#17988827C2211yescharacteristic, complemented
127#17988826C2211yescharacteristic, complemented
128#17988826C2211yescharacteristic, complemented
129#17988825C2211yescharacteristic, complemented
130#17988819C2211yescharacteristic, complemented
131#17988818C2211yescharacteristic, complemented
132#17988817C2211yescharacteristic, complemented
133#17988816C2211yescharacteristic, complemented
134#17988815C2211yescharacteristic, complemented
135#17988814C2211yescharacteristic, complemented
136#17988813C2211yescharacteristic, complemented
137#17988752C2211yescharacteristic, complemented
138#17988752C2211yescharacteristic, complemented
139#17988751C2211yescharacteristic, complemented
140#17988751C2211yescharacteristic, complemented
141#17988750C2211yescharacteristic, complemented
142#17988750C2211yescharacteristic, complemented
143#17988749C2211yescharacteristic, complemented
144#17988749C2211yescharacteristic, complemented
145#17988748C2211yescharacteristic, complemented
146#17988748C2211yescharacteristic, complemented
147#17988747C2211yescharacteristic, complemented
148#17988747C2211yescharacteristic, complemented
149#17988746C2211yescharacteristic, complemented
150#17988746C2211yescharacteristic, complemented
151#17988745C2211yescharacteristic, complemented
152#17988744C2211yescharacteristic, complemented
153#17988744C2211yescharacteristic, complemented
154#17988743C2211yescharacteristic, complemented
155#17988742C2211yescharacteristic, complemented
156#17988741C2211yescharacteristic, complemented
157#17988741C2211yescharacteristic, complemented
158#17988728C2211yescharacteristic, complemented
159#17988727C2211yescharacteristic, complemented
160#17988727C2211yescharacteristic, complemented
161#17988726C2211yescharacteristic, complemented
162#17988725C2211yescharacteristic, complemented
163#17988724C2211yescharacteristic, complemented
164#17988724C2211yescharacteristic, complemented
165#107×D73C2211yescharacteristic
166#107×D73C2211yescharacteristic
167#106×D73C2211yescharacteristic
168#106×D73C2211yescharacteristic
169#103×D73C2211yescharacteristic
170#103×D73C2211yescharacteristic
171#103×D73C2211yescharacteristic
172#103×D73C2211yescharacteristic
173#103×D73C2211yescharacteristic
174#103×D73C2211yescharacteristic
175#102×D73C2211yescharacteristic
176#102×D73C2211yescharacteristic
177#17988555C2211yescharacteristic, complemented
178#17988554C2211yescharacteristic, complemented
179#17988553C2211yescharacteristic, complemented
180#17988552C2211yescharacteristic, complemented
181#17988552C2211yescharacteristic, complemented
182#17988552C2211yescharacteristic, complemented
183#17988552C2211yescharacteristic, complemented
184C22⋊C8×D73C2211yescharacteristic
185C22⋊C8×D73C2211yescharacteristic
186C22⋊C8×D73C2211yescharacteristic
187C22⋊C8×D73C2211yescharacteristic
188#537×C73C2211yescharacteristic
189#536×C73C2211yescharacteristic, complemented
190#485×C73C2211yescharacteristic, complemented
191#484×C73C2211yescharacteristic, complemented
192#483×C73C2211yescharacteristic, complemented
193#482×C73C2211yescharacteristic, complemented
194#470×C73C2211yescharacteristic, complemented
195#468×C73C2211yescharacteristic, complemented
196#467×C73C2211yescharacteristic, complemented
197#465×C73C2211yescharacteristic, complemented
198#452×C73C2211yescharacteristic, complemented
199#452×C73C2211yescharacteristic, complemented
200#451×C73C2211yescharacteristic, complemented
201#448×C73C2211yescharacteristic, complemented
202#408×C73C2211yescharacteristic, complemented
203C2×#11924029D411yescharacteristic
204C2×#11924029C2311yescharacteristic
205C2×#11924028—21no—
206C2×#11924028C2311yescharacteristic
207C2×#11924028C2311yescharacteristic
208C2×#11924028C2311yescharacteristic
209C2×#11924028C2311yescharacteristic
210C2×#11924027—21no—
211C2×#11924027D411yescharacteristic
212C2×#11924027D411yescharacteristic
213C2×#11924027D411yescharacteristic
214C2×#11924027C2311yescharacteristic
215#41×D73—42no—
216#41×D73—42no—
217#41×D73—42no—
218#41×D73—42no—
219C22×Dic146—21no—
220C22×Dic146C2311yescharacteristic
221C2×Q8×D73—21no—
222C2×Q8×D73—21no—
223C2×Q8×D73—42no—
224C2×Q8×D73—42no—
225C2×Q8×D73D411yescharacteristic
226C2×Q8×D73C2311yescharacteristic
227C2×Q8×D73C2311yescharacteristic
228C2×Q8×D73C2311yescharacteristic
229C2×Q8×D73C2311yescharacteristic
230C2×Q8×D73C2311yescharacteristic
231C2×D4×D73—21no—
232C2×D4×D73—21no—
233C2×D4×D73—21no—
234C2×D4×D73D411yescharacteristic
235C2×D4×D73D411yescharacteristic
236C2×D4×D73D411yescharacteristic
237C2×D4×D73C2311yescharacteristic
238C22×C4×D73—21no—
239C22×C4×D73—21no—
240C22×C4×D73—21no—
241C22×C4×D73C2311yescharacteristic
242C22×C4×D73C2311yescharacteristic
243C22×C4×D73C2311yescharacteristic
244C2×Dic292C2311yescharacteristic
245C2×Dic292C2311yescharacteristic
246C2×#11924018C2311yescharacteristic
247C2×#11924018C2311yescharacteristic
248C2×#11924018C2311yescharacteristic
249C2×#11924018C2311yescharacteristic
250Q16×D73—42no—
251Q16×D73—42no—
252C2×#11924017C2311yescharacteristic
253C2×#11924017C2311yescharacteristic
254C2×#11924016C2311yescharacteristic
255C2×#11924016C2311yescharacteristic
256C2×#11924015C2311yescharacteristic
257C2×#11924015C2311yescharacteristic
258SD16×D73—42no—
259SD16×D73—42no—
260C2×#11924012C2311yescharacteristic
261C2×#11924011C2311yescharacteristic
262C2×#11924011C2311yescharacteristic
263M16×D73—42no—
264C22×#10596831C2311yescharacteristic
265C2×C8×D73—42no—
266C2×C8×D73C2311yescharacteristic
267C2×C8×D73C2311yescharacteristic
268C2×C8×D73C2311yescharacteristic
269C2×C8×D73C2311yescharacteristic
270C2×C8×D73C2311yescharacteristic
271C2×C8×D73C2311yescharacteristic
272#14556591—21no—
273#14556590—21no—
274#14556590—21no—
275#14556590—21no—
276#14556590—21no—
277#14556589—21no—
278#14556589—21no—
279#14556580—21no—
280#14556579—21no—
281#14556578—21no—
282#14556577—21no—
283#14556577—21no—
284#14556577—21no—
285#14556577—21no—
286#14556576—21no—
287#14556576—21no—
288#14556576—21no—
289#14556576—21no—
290#14556575—21no—
291#14556575—21no—
292#14556574—21no—
293#14556574—21no—
294#14556573—21no—
295#14556573—21no—
296#14556573—21no—
297#14556573—21no—
298#14556572—21no—
299#14556572—21no—
300#14556571—21no—
301#14556571C2311yescharacteristic
302#14556571C2311yescharacteristic
303#14556571C2311yescharacteristic
304#14556571C2311yescharacteristic
305#14556571C2311yescharacteristic
306#14556571C2311yescharacteristic
307#14556570—21no—
308#14556570C2311yescharacteristic
309#14556570C2311yescharacteristic
310#14556570C2311yescharacteristic
311#14556570C2311yescharacteristic
312#14556570C2311yescharacteristic
313#14556570C2311yescharacteristic
314#14556569—21no—
315#14556569—21no—
316#14556569—21no—
317#14556569—21no—
318#14556569—21no—
319#14556569—21no—
320#14556569—21no—
321#14556569—21no—
322#14556568—21no—
323#14556568—21no—
324#14556568—21no—
325#14556568—21no—
326#14556568—21no—
327#14556568—21no—
328#14556568—21no—
329#14556568—21no—
330#14556567—21no—
331#14556567C2311yescharacteristic
332#14556567C2311yescharacteristic
333#14556567C2311yescharacteristic
334#14556567C2311yescharacteristic
335#14556567C2311yescharacteristic
336#14556567C2311yescharacteristic
337#14556566—21no—
338#14556566—21no—
339#14556566—21no—
340#14556566C2311yescharacteristic
341#14556566C2311yescharacteristic
342#14556565—21no—
343#14556565—21no—
344#14556565—21no—
345#14556565C2311yescharacteristic
346#14556565C2311yescharacteristic
347#14556564—21no—
348#14556564—21no—
349#14556564—21no—
350#14556564—21no—
351#14556564—21no—
352#14556564—21no—
353#14556564—21no—
354#14556564—21no—
355#14556563—21no—
356#14556563—21no—
357#14556563—21no—
358#14556563—21no—
359#14556563—21no—
360#14556563—21no—
361#14556563—21no—
362#14556563—21no—
363#14556562—21no—
364#14556562—21no—
365#14556562—21no—
366#14556562C2311yescharacteristic
367#14556562C2311yescharacteristic
368#14556550C2311yescharacteristic
369#14556549C2311yescharacteristic
370#14556549C2311yescharacteristic
371#14556548—21no—
372#14556547—21no—
373C2×C4⋊Dic73C2311yescharacteristic
374C2×#11924007—21no—
375C4⋊C4×D73—21no—
376C4⋊C4×D73—21no—
377C4⋊C4×D73—21no—
378C4⋊C4×D73—21no—
379C4⋊C4×D73—21no—
380C4⋊C4×D73—21no—
381C4⋊C4×D73—21no—
382C4⋊C4×D73—21no—
383C4⋊C4×D73C2311yescharacteristic
384C4⋊C4×D73C2311yescharacteristic
385C4⋊C4×D73C2311yescharacteristic
386C4⋊C4×D73C2311yescharacteristic
387C4⋊C4×D73C2311yescharacteristic
388C4⋊C4×D73C2311yescharacteristic
389C22⋊C4×D73—21no—
390C22⋊C4×D73—21no—
391C22⋊C4×D73—21no—
392C22⋊C4×D73—21no—
393C22⋊C4×D73—21no—
394C22⋊C4×D73—21no—
395C22⋊C4×D73—21no—
396C22⋊C4×D73—21no—
397C22⋊C4×D73—21no—
398C42×D73—21no—
399#14556525C2311yescharacteristic
400#14556525C2311yescharacteristic
401#14556524C2311yescharacteristic
402#14556524C2311yescharacteristic
403#14556524C2311yescharacteristic
404#14556524C2311yescharacteristic
405#14556523C2311yescharacteristic
406#14556523C2311yescharacteristic
407#14556522C2311yescharacteristic
408#14556522C2311yescharacteristic
409#14556522C2311yescharacteristic
410#14556522C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556516C2311yescharacteristic
413#14556516C2311yescharacteristic
414#14556516C2311yescharacteristic
415#14556516C2311yescharacteristic
416#14556516C2311yescharacteristic
417#14556515C2311yescharacteristic
418#14556515C2311yescharacteristic
419#14556515C2311yescharacteristic
420#14556515C2311yescharacteristic
421#14556515C2311yescharacteristic
422#14556515C2311yescharacteristic
423#14556514C2311yescharacteristic
424#14556514C2311yescharacteristic
425#14556514C2311yescharacteristic
426#14556514C2311yescharacteristic
427#14556514C2311yescharacteristic
428#14556514C2311yescharacteristic
429#14556513C2311yescharacteristic
430#14556513C2311yescharacteristic
431#14556512C2311yescharacteristic
432#14556512C2311yescharacteristic
433#14556511C2311yescharacteristic
434#14556511C2311yescharacteristic
435C22⋊#10596831C2311yescharacteristic
436C22⋊#10596831C2311yescharacteristic
437C22⋊#10596831C2311yescharacteristic
438C22⋊#10596831C2311yescharacteristic
439#14556503C2311yescharacteristic
440#14556503C2311yescharacteristic
441#14556503C2311yescharacteristic
442#14556503C2311yescharacteristic
443#14556503C2311yescharacteristic
444#14556503C2311yescharacteristic
445#14556503C2311yescharacteristic
446#14556503C2311yescharacteristic
447C2×#41×C73C2311yescharacteristic
448C2×#41×C73C2311yescharacteristic
449C22×Q8×C73C2311yescharacteristic
450C2×Q16×C73C2311yescharacteristic
451C2×Q16×C73C2311yescharacteristic
452C2×SD16×C73C2311yescharacteristic
453C2×SD16×C73C2311yescharacteristic
454C2×M16×C73C2311yescharacteristic
455C22×C8×C73C2311yescharacteristic
456C4⋊Q8×C73—21no—
457#124×C73—21no—
458#123×C73—21no—
459#123×C73—21no—
460C22⋊Q8×C73—21no—
461C22⋊Q8×C73C2311yescharacteristic
462C22⋊Q8×C73C2311yescharacteristic
463C22⋊Q8×C73C2311yescharacteristic
464C22⋊Q8×C73C2311yescharacteristic
465C22⋊Q8×C73C2311yescharacteristic
466C22⋊Q8×C73C2311yescharacteristic
467#121×C73—21no—
468#121×C73—21no—
469#121×C73—21no—
470#121×C73C2311yescharacteristic
471#121×C73C2311yescharacteristic
472#117×C73C2311yescharacteristic
473C2×C4⋊C4×C73C2311yescharacteristic
474#107×C73C2311yescharacteristic
475#107×C73C2311yescharacteristic
476#106×C73C2311yescharacteristic
477#106×C73C2311yescharacteristic
478#103×C73C2311yescharacteristic
479#103×C73C2311yescharacteristic
480#103×C73C2311yescharacteristic
481#103×C73C2311yescharacteristic
482#103×C73C2311yescharacteristic
483#103×C73C2311yescharacteristic
484#102×C73C2311yescharacteristic
485#102×C73C2311yescharacteristic
486C22⋊C8×C73C2311yescharacteristic
487C22⋊C8×C73C2311yescharacteristic
488C22⋊C8×C73C2311yescharacteristic
489C22⋊C8×C73C2311yescharacteristic
490C23×D73—21no—
491C23×D73C2×D411yescharacteristic
492C23×D73C2×D411yescharacteristic
493C23×D73C2×D411yescharacteristic
494#11924029—42no—
495#11924029—41no—
496#11924029—41no—
497#11924028—41no—
498#11924028—41no—
499#11924028—41no—
500#11924028—41no—
501#11924028—41no—
502#11924028—41no—
503#11924028—41no—
504#11924028—41no—
505#11924028—44no—
506#11924027—41no—
507#11924027—41no—
508#11924027—42no—
509#11924027—42no—
510#11924027—42no—
511#11924027—44no—
512C2×Dic146—21no—
513C2×Dic146—21no—
514C2×Dic146—21no—
515C2×Dic146—21no—
516C2×Dic146—21no—
517C2×Dic146—21no—
518C2×Dic146—41no—
519C2×Dic146—41no—
520C2×Dic146—44no—
521C2×Dic146C2×D411yescharacteristic
522C2×Dic146C2×D411yescharacteristic
523C2×Dic146C2×D411yescharacteristic
524C2×Dic146C2411yescharacteristic
525C2×Dic146C2411yescharacteristic
526C2×Dic146C2411yescharacteristic
527Q8×D73—22no—
528Q8×D73—22no—
529Q8×D73—22no—
530Q8×D73—22no—
531Q8×D73—22no—
532Q8×D73—22no—
533Q8×D73—41no—
534Q8×D73—41no—
535Q8×D73—41no—
536Q8×D73—41no—
537Q8×D73—42no—
538Q8×D73—44no—
539Q8×D73—44no—
540C2×D292—21no—
541C2×D292—21no—
542C2×D292—21no—
543C2×D292C2×D411yescharacteristic
544C2×D292C2×D411yescharacteristic
545C2×D292C2×D411yescharacteristic
546C2×D292C2411yescharacteristic
547C2×C22⋊D73—21no—
548C2×C22⋊D73—21no—
549C2×C22⋊D73—21no—
550C2×C22⋊D73—21no—
551C2×C22⋊D73—21no—
552C2×C22⋊D73—21no—
553C2×C22⋊D73—21no—
554C2×C22⋊D73C2×D411yescharacteristic
555C2×C22⋊D73C2×D411yescharacteristic
556C2×C22⋊D73C2×D411yescharacteristic
557C2×C22⋊D73C2×D411yescharacteristic
558C2×C22⋊D73C2×D411yescharacteristic
559C2×C22⋊D73C2×D411yescharacteristic
560D4×D73—22no—
561D4×D73—22no—
562D4×D73—42no—
563D4×D73—42no—
564D4×D73—42no—
565D4×D73—44no—
566D4×D73—82no—
567D4×D73—82no—
568C22×Dic73—21no—
569C22×Dic73—21no—
570C22×Dic73—21no—
571C22×Dic73C2×D411yescharacteristic
572C22×Dic73C2×D411yescharacteristic
573C22×Dic73C2×D411yescharacteristic
574C2×C4×D73—22no—
575C2×C4×D73—22no—
576C2×C4×D73—22no—
577C2×C4×D73—22no—
578C2×C4×D73—22no—
579C2×C4×D73—22no—
580C2×C4×D73—21no—
581C2×C4×D73—21no—
582C2×C4×D73—21no—
583C2×C4×D73—21no—
584C2×C4×D73—21no—
585C2×C4×D73—21no—
586C2×C4×D73—21no—
587C2×C4×D73—21no—
588C2×C4×D73—21no—
589C2×C4×D73—21no—
590C2×C4×D73—21no—
591C2×C4×D73—21no—
592C2×C4×D73—21no—
593C2×C4×D73—44no—
594C2×C4×D73—44no—
595C2×C4×D73—82no—
596C2×C4×D73C2×D411yescharacteristic
597C2×C4×D73C2×D411yescharacteristic
598C2×C4×D73C2×D411yescharacteristic
599C2×C4×D73C2×D411yescharacteristic
600C2×C4×D73C2×D411yescharacteristic
601C2×C4×D73C2×D411yescharacteristic
602C2×C4×D73C2411yescharacteristic
603C2×C4×D73C2411yescharacteristic
604C2×C4×D73C2411yescharacteristic
605C2×C4×D73C2411yescharacteristic
606Dic292—41no—
607Dic292—41no—
608#11924018—41no—
609#11924018—41no—
610#11924018—41no—
611#11924018—41no—
612#11924017—41no—
613#11924017—41no—
614#11924016—41no—
615#11924016—41no—
616#11924015—41no—
617#11924015—41no—
618#11924012—41no—
619#11924011—41no—
620#11924011—41no—
621C2×#10596831—41no—
622C2×#10596831C2411yescharacteristic
623C2×#10596831C2411yescharacteristic
624C2×#10596831C2411yescharacteristic
625C2×#10596831C2411yescharacteristic
626C8×D73—22no—
627C8×D73—22no—
628C8×D73—22no—
629C8×D73—22no—
630C8×D73—41no—
631C8×D73—41no—
632C4⋊Dic73—21no—
633C4⋊Dic73—21no—
634C4⋊Dic73—21no—
635C4⋊Dic73—21no—
636C4⋊Dic73—21no—
637C4⋊Dic73—21no—
638C4⋊Dic73—21no—
639C4⋊Dic73C2411yescharacteristic
640C4⋊Dic73C2411yescharacteristic
641C4⋊Dic73C2411yescharacteristic
642C4⋊Dic73C2411yescharacteristic
643#11924007—21no—
644#11924007—21no—
645#11924007—21no—
646#11924007—21no—
647#11924007—21no—
648#11924007—21no—
649#11924007—21no—
650#11924007—21no—
651#11924007—21no—
652#11924007—21no—
653#11924007—21no—
654#11924007—21no—
655#11924007—21no—
656#11924007—21no—
657#11924007—21no—
658#11924007—21no—
659#11924007—21no—
660#11924007—21no—
661C22⋊Dic73—21no—
662C22⋊Dic73—21no—
663C22⋊Dic73—21no—
664C22⋊Dic73—21no—
665C22⋊Dic73—21no—
666C22⋊Dic73—21no—
667C22⋊Dic73—21no—
668C22⋊Dic73—21no—
669C22⋊Dic73—21no—
670#11924005—21no—
671#11924005—21no—
672#11924005—21no—
673#11924005—21no—
674#11924005—21no—
675#11924005—21no—
676#11924005—21no—
677#11924005—21no—
678#11924005—21no—
679#11924005—21no—
680#11924005—21no—
681#11924005—21no—
682#11924005—21no—
683#11924005—21no—
684#11924005—21no—
685#11924005—21no—
686#11924005—21no—
687#11924005—21no—
688C4×Dic73—21no—
689C4×Dic73—21no—
690C4×Dic73—21no—
691#41×C73—41no—
692#41×C73—41no—
693#41×C73—41no—
694#41×C73—41no—
695C2×Q8×C73—21no—
696C2×Q8×C73—41no—
697C2×Q8×C73—41no—
698C2×Q8×C73C2×D411yescharacteristic
699C2×Q8×C73C2411yescharacteristic
700C2×Q8×C73C2411yescharacteristic
701C2×Q8×C73C2411yescharacteristic
702C2×D4×C73—21no—
703C2×D4×C73—21no—
704C2×D4×C73—21no—
705C2×D4×C73C2×D411yescharacteristic
706C2×D4×C73C2×D411yescharacteristic
707C2×D4×C73C2×D411yescharacteristic
708C2×D4×C73C2411yescharacteristic
709C22×C4×C73—21no—
710C22×C4×C73—21no—
711C22×C4×C73—21no—
712C22×C4×C73C2411yescharacteristic
713C22×C4×C73C2411yescharacteristic
714C22×C4×C73C2411yescharacteristic
715Q16×C73—41no—
716Q16×C73—41no—
717SD16×C73—41no—
718SD16×C73—41no—
719M16×C73—41no—
720C2×C8×C73—41no—
721C2×C8×C73C2411yescharacteristic
722C2×C8×C73C2411yescharacteristic
723C2×C8×C73C2411yescharacteristic
724C2×C8×C73C2411yescharacteristic
725C4⋊C4×C73—21no—
726C4⋊C4×C73—21no—
727C4⋊C4×C73—21no—
728C4⋊C4×C73—21no—
729C4⋊C4×C73—21no—
730C4⋊C4×C73—21no—
731C4⋊C4×C73—21no—
732C4⋊C4×C73C2411yescharacteristic
733C4⋊C4×C73C2411yescharacteristic
734C4⋊C4×C73C2411yescharacteristic
735C4⋊C4×C73C2411yescharacteristic
736C22⋊C4×C73—21no—
737C22⋊C4×C73—21no—
738C22⋊C4×C73—21no—
739C22⋊C4×C73—21no—
740C22⋊C4×C73—21no—
741C22⋊C4×C73—21no—
742C22⋊C4×C73—21no—
743C22⋊C4×C73—21no—
744C22⋊C4×C73—21no—
745C42×C73—21no—
746C23×C73—21no—
747C23×C73C22×D411yescharacteristic
748C23×C73C22×D411yescharacteristic
749C23×C73C22×D411yescharacteristic
750C22×D73—22no—
751C22×D73—22no—
752C22×D73—22no—
753C22×D73—22no—
754C22×D73—22no—
755C22×D73—22no—
756C22×D73—22no—
757C22×D73—22no—
758C22×D73—22no—
759C22×D73—21no—
760C22×D73—42no—
761C22×D73—42no—
762C22×D73—42no—
763C22×D73C22×D411yescharacteristic
764C22×D73C22×D411yescharacteristic
765C22×D73C22×D411yescharacteristic
766C22×D73C22×D411yescharacteristic
767Q8×C73—21no—
768Q8×C73—21no—
769Q8×C73—21no—
770Q8×C73—21no—
771Q8×C73—21no—
772Q8×C73—21no—
773Q8×C73—41no—
774Q8×C73—42no—
775D4×C73—21no—
776D4×C73—21no—
777D4×C73—41no—
778D4×C73—41no—
779D4×C73—41no—
780D4×C73—42no—
781D4×C73—81no—
782D4×C73—81no—
783C2×C4×C73—21no—
784C2×C4×C73—21no—
785C2×C4×C73—21no—
786C2×C4×C73—21no—
787C2×C4×C73—21no—
788C2×C4×C73—21no—
789C2×C4×C73—21no—
790C2×C4×C73—21no—
791C2×C4×C73—21no—
792C2×C4×C73—21no—
793C2×C4×C73—21no—
794C2×C4×C73—21no—
795C2×C4×C73—21no—
796C2×C4×C73—42no—
797C2×C4×C73—42no—
798C2×C4×C73—81no—
799C2×C4×C73C22×D411yescharacteristic
800C2×C4×C73C22×D411yescharacteristic
801C2×C4×C73C22×D411yescharacteristic
802C2×C4×C73C2511yescharacteristic
803C22⋊D73—41no—
804C22⋊D73—41no—
805C22⋊D73—41no—
806C22⋊D73—41no—
807C22⋊D73—41no—
808C22⋊D73—41no—
809C22⋊D73—42no—
810C22⋊D73—42no—
811C22⋊D73—42no—
812C22⋊D73—81no—
813C22⋊D73—81no—
814C22⋊D73—81no—
815C22⋊D73—81no—
816C2×Dic73—22no—
817C2×Dic73—22no—
818C2×Dic73—22no—
819C2×Dic73—21no—
820C2×Dic73—21no—
821C2×Dic73—21no—
822C2×Dic73—21no—
823C2×Dic73—21no—
824C2×Dic73—21no—
825C2×Dic73—21no—
826C2×Dic73—42no—
827C2×Dic73—42no—
828C2×Dic73—81no—
829C2×Dic73C22×D411yescharacteristic
830C2×Dic73C22×D411yescharacteristic
831C2×Dic73C22×D411yescharacteristic
832C2×Dic73C22×D411yescharacteristic
833D292—21no—
834D292—21no—
835D292—41no—
836D292—41no—
837D292—41no—
838D292—42no—
839D292—81no—
840D292—81no—
841C4×D73—22no—
842C4×D73—22no—
843C4×D73—22no—
844C4×D73—21no—
845C4×D73—21no—
846C4×D73—21no—
847C4×D73—21no—
848C4×D73—21no—
849C4×D73—21no—
850C4×D73—22no—
851C4×D73—22no—
852C4×D73—22no—
853C4×D73—42no—
854C4×D73—42no—
855C4×D73—42no—
856C4×D73—42no—
857C4×D73—42no—
858C4×D73—42no—
859C4×D73—42no—
860C4×D73—42no—
861C4×D73—42no—
862C4×D73—42no—
863C4×D73—42no—
864C4×D73—81no—
865C4×D73—81no—
866C4×D73H(5,𝔽2)12yes—
867C4×D73H(5,𝔽2)12yes—
868Dic146—21no—
869Dic146—21no—
870Dic146—21no—
871Dic146—21no—
872Dic146—21no—
873Dic146—21no—
874Dic146—41no—
875Dic146—41no—
876Dic146—41no—
877Dic146—42no—
878Dic146—42no—
879Dic146—42no—
880Dic146—42no—
881Dic146—42no—
882Dic146—42no—
883C8×C73—21no—
884C8×C73—21no—
885C8×C73—21no—
886C8×C73—21no—
887#10596831—21no—
888#10596831—21no—
889#10596831—21no—
890#10596831—21no—
891C22×C73—21no—
892C22×C73—21no—
893C22×C73—21no—
894C22×C73—21no—
895C22×C73—21no—
896C22×C73—21no—
897C22×C73—21no—
898C22×C73—21no—
899C22×C73—21no—
900C22×C73—41no—
901C22×C73—41no—
902C22×C73—41no—
903C22×C73C23×D411yescharacteristic
904C2×D73—21no—
905C2×D73—21no—
906C2×D73—21no—
907C2×D73—21no—
908C2×D73—21no—
909C2×D73—21no—
910C2×D73—21no—
911C2×D73—21no—
912C2×D73—21no—
913C2×D73—44no—
914C2×D73—44no—
915C2×D73—44no—
916C2×D73—41no—
917C2×D73—41no—
918C2×D73—41no—
919C2×D73—84no—
920C2×D73#53412yes—
921C2×D73#57712yes—
922C2×D73#57812yes—
923C4×C73—21no—
924C4×C73—21no—
925C4×C73—21no—
926C4×C73—41no—
927C4×C73—41no—
928C4×C73—41no—
929C4×C73—41no—
930C4×C73—41no—
931C4×C73—41no—
932C4×C73—41no—
933C4×C73C2×H(5,𝔽2)11yescharacteristic
934C4×C73C2×H(5,𝔽2)11yescharacteristic
935Dic73—21no—
936Dic73—21no—
937Dic73—21no—
938Dic73—41no—
939Dic73—41no—
940Dic73—41no—
941Dic73—41no—
942Dic73—41no—
943Dic73—41no—
944Dic73—41no—
945Dic73#53412yes—
946C2×#3201—731nomaximal, Sylow
947C2×C73—41no—
948C2×C73—41no—
949C2×C73—41no—
950C2×C73—81no—
951C2×C73C2×#53411yescharacteristic
952C2×C73C2×#57711yescharacteristic
953C2×C73C2×#57811yescharacteristic
954D73—41no—
955D73—41no—
956D73—41no—
957D73—81no—
958D73#320114yesdirect product factor
959C2×#537—731no—
960C2×#536—731no—
961#3201—731no—
962#3201—731no—
963#3201—731no—
964#3201—731no—
965#3201—731no—
966#3201—731no—
967#3201—731no—
968#3201—731no—
969#3201—731no—
970#3201—731no—
971#3201—731no—
972#3201—731no—
973#3201—731no—
974#3201—731no—
975#3201—731no—
976#3201D7311yescharacteristic, direct product factor
977C2×#484—731no—
978C2×#485—731no—
979C2×#482—731no—
980C2×#483—731no—
981C2×#470—731no—
982C2×#468—731no—
983C2×#467—731no—
984C2×#465—731no—
985C2×#452—731no—
986C2×#452—731no—
987C2×#451—731no—
988C2×#448—731no—
989C2×#408—731no—
990C73C2×#320111yescharacteristic, complemented, Sylow
991C22×#41—731no—
992C22×#41—731no—
993C23×Q8—731no—
994C22×Q16—731no—
995C22×Q16—731no—
996C22×SD16—731no—
997C22×SD16—731no—
998C22×M16—731no—
999C23×C8—731no—
1000#537—731no—
1001#537—731no—
1002#537—731no—
1003#537—731no—
1004#537—731no—
1005#537—731no—
1006#537—731no—
1007#537—1461no—
1008#537—1461no—
1009#537—1461no—
1010#537—1461no—
1011#537C2×D7311yescharacteristic
1012#536—731no—
1013#536—731no—
1014#536—731no—
1015#536—731no—
1016#536—731no—
1017#536—731no—
1018#536—731no—
1019#536—1461no—
1020#536—1461no—
1021#536—1461no—
1022#536—1461no—
1023#536C2×D7311yescharacteristic, complemented
1024C2×C4⋊Q8—1461no—
1025C2×#124—1461no—
1026C2×#123—1461no—
1027C2×#123—1461no—
1028C2×C22⋊Q8—731no—
1029C2×C22⋊Q8—731no—
1030C2×C22⋊Q8—731no—
1031C2×C22⋊Q8—731no—
1032C2×C22⋊Q8—731no—
1033C2×C22⋊Q8—731no—
1034C2×C22⋊Q8—1461no—
1035C2×#121—731no—
1036C2×#121—731no—
1037C2×#121—1461no—
1038C2×#121—1461no—
1039C2×#121—1461no—
1040C2×#117—731no—
1041C22×C4⋊C4—731no—
1042#485—731no—
1043#485—731no—
1044#485—731no—
1045#485—731no—
1046#485—731no—
1047#485—731no—
1048#485—731no—
1049#485C2×D7311yescharacteristic, complemented
1050#484—731no—
1051#484—731no—
1052#484—731no—
1053#484—731no—
1054#484—731no—
1055#484—731no—
1056#484—731no—
1057#484C2×D7311yescharacteristic, complemented
1058#483—731no—
1059#483—731no—
1060#483—731no—
1061#483—731no—
1062#483—731no—
1063#483—731no—
1064#483—731no—
1065#483C2×D7311yescharacteristic, complemented
1066#482—731no—
1067#482—731no—
1068#482—731no—
1069#482—731no—
1070#482—731no—
1071#482—731no—
1072#482—731no—
1073#482C2×D7311yescharacteristic, complemented
1074#470—731no—
1075#470—731no—
1076#470—731no—
1077#470—731no—
1078#470—731no—
1079#470—731no—
1080#470—731no—
1081#470C2×D7311yescharacteristic, complemented
1082#468—731no—
1083#468—731no—
1084#468—731no—
1085#468—731no—
1086#468—731no—
1087#468—731no—
1088#468—731no—
1089#468C2×D7311yescharacteristic, complemented
1090#467—731no—
1091#467—731no—
1092#467—731no—
1093#467—731no—
1094#467—731no—
1095#467—731no—
1096#467—731no—
1097#467C2×D7311yescharacteristic, complemented
1098#465—731no—
1099#465—731no—
1100#465—731no—
1101#465—731no—
1102#465—731no—
1103#465—731no—
1104#465—731no—
1105#465C2×D7311yescharacteristic, complemented
1106#452—731no—
1107#452—731no—
1108#452—731no—
1109#452—731no—
1110#452—731no—
1111#452—731no—
1112#452—731no—
1113#452—731no—
1114#452—731no—
1115#452—731no—
1116#452—731no—
1117#452—731no—
1118#452—731no—
1119#452—731no—
1120#452C2×D7311yescharacteristic, complemented
1121#452C2×D7311yescharacteristic, complemented
1122#451—731no—
1123#451—731no—
1124#451—731no—
1125#451—731no—
1126#451—731no—
1127#451—731no—
1128#451—731no—
1129#451C2×D7311yescharacteristic, complemented
1130#448—731no—
1131#448—731no—
1132#448—731no—
1133#448—731no—
1134#448—731no—
1135#448—731no—
1136#448—731no—
1137#448C2×D7311yescharacteristic, complemented
1138C2×#107—731no—
1139C2×#107—731no—
1140C2×#106—731no—
1141C2×#106—731no—
1142C2×#103—731no—
1143C2×#103—731no—
1144C2×#103—731no—
1145C2×#103—731no—
1146C2×#103—731no—
1147C2×#103—731no—
1148C2×#102—731no—
1149C2×#102—731no—
1150#408—731no—
1151#408—731no—
1152#408—731no—
1153#408—731no—
1154#408—731no—
1155#408—731no—
1156#408—731no—
1157#408C2×D7311yescharacteristic, complemented
1158C2×C22⋊C8—731no—
1159C2×C22⋊C8—731no—
1160C2×C22⋊C8—731no—
1161C2×C22⋊C8—731no—
1162C2×#41—2922no—
1163C2×#41—2922no—
1164C2×#41—2922no—
1165C2×#41—2922no—
1166C2×#41—731no—
1167C2×#41—731no—
1168C2×#41—731no—
1169C2×#41—731no—
1170C2×#41—731no—
1171C2×#41—731no—
1172C2×#41—731no—
1173C2×#41—731no—
1174C2×#41—731no—
1175C2×#41—731no—
1176C2×#41—1461no—
1177C2×#41—1461no—
1178C2×#41C22×D7311yescharacteristic
1179C2×#41C22×D7311yescharacteristic
1180C22×Q8—2922no—
1181C22×Q8—2922no—
1182C22×Q8—731no—
1183C22×Q8—731no—
1184C22×Q8—731no—
1185C22×Q8—731no—
1186C22×Q8—731no—
1187C22×Q8—731no—
1188C22×Q8—731no—
1189C22×Q8—1461no—
1190C22×Q8—1461no—
1191C22×Q8—1461no—
1192C22×Q8C22×D7311yescharacteristic
1193C22×D4—731no—
1194C22×D4—731no—
1195C22×D4—731no—
1196C22×D4—731no—
1197C22×D4—1461no—
1198C22×D4—1461no—
1199C22×D4—1461no—
1200C23×C4—731no—
1201C23×C4—731no—
1202C23×C4—731no—
1203C23×C4—1461no—
1204C23×C4—1461no—
1205C23×C4—1461no—
1206C2×Q16—2922no—
1207C2×Q16—2922no—
1208C2×Q16—731no—
1209C2×Q16—731no—
1210C2×Q16—731no—
1211C2×Q16—731no—
1212C2×Q16—731no—
1213C2×Q16—731no—
1214C2×Q16C22×D7311yescharacteristic
1215C2×Q16C22×D7311yescharacteristic
1216C2×SD16—2922no—
1217C2×SD16—2922no—
1218C2×SD16—731no—
1219C2×SD16—731no—
1220C2×SD16—731no—
1221C2×SD16—731no—
1222C2×SD16—731no—
1223C2×SD16—731no—
1224C2×SD16C22×D7311yescharacteristic
1225C2×SD16C22×D7311yescharacteristic
1226C2×M16—2922no—
1227C2×M16—731no—
1228C2×M16—731no—
1229C2×M16—731no—
1230C2×M16C22×D7311yescharacteristic
1231C22×C8—2922no—
1232C22×C8—731no—
1233C22×C8—731no—
1234C22×C8—731no—
1235C22×C8—731no—
1236C22×C8—731no—
1237C22×C8—731no—
1238C22×C8—731no—
1239C22×C8C22×D7311yescharacteristic
1240C4⋊Q8—21no—
1241C4⋊Q8—1461no—
1242C4⋊Q8—1461no—
1243C4⋊Q8—1461no—
1244C4⋊Q8—1461no—
1245C4⋊Q8—1461no—
1246C4⋊Q8—1461no—
1247C4⋊Q8—1461no—
1248#124—21no—
1249#124—1461no—
1250#124—1461no—
1251#124—1461no—
1252#124—1461no—
1253#124—1461no—
1254#124—1461no—
1255#124—1461no—
1256#123—21no—
1257#123—21no—
1258#123—1461no—
1259#123—1461no—
1260#123—1461no—
1261#123—1461no—
1262#123—1461no—
1263#123—1461no—
1264#123—1461no—
1265#123—1461no—
1266#123—1461no—
1267#123—1461no—
1268#123—1461no—
1269#123—1461no—
1270#123—1461no—
1271#123—1461no—
1272C22⋊Q8—21no—
1273C22⋊Q8—731no—
1274C22⋊Q8—731no—
1275C22⋊Q8—731no—
1276C22⋊Q8—731no—
1277C22⋊Q8—731no—
1278C22⋊Q8—731no—
1279C22⋊Q8—731no—
1280C22⋊Q8—731no—
1281C22⋊Q8—731no—
1282C22⋊Q8—731no—
1283C22⋊Q8—731no—
1284C22⋊Q8—731no—
1285C22⋊Q8—731no—
1286C22⋊Q8—731no—
1287C22⋊Q8—731no—
1288C22⋊Q8—731no—
1289C22⋊Q8—731no—
1290C22⋊Q8—731no—
1291C22⋊Q8—1461no—
1292C22⋊Q8—1461no—
1293C22⋊Q8—1461no—
1294C22⋊Q8—1461no—
1295C22⋊Q8—1461no—
1296C22⋊Q8—1461no—
1297C22⋊Q8—1461no—
1298C22⋊Q8—1461no—
1299C22⋊Q8—1461no—
1300C22⋊Q8—1461no—
1301C22⋊Q8—1461no—
1302C22⋊Q8—1461no—
1303C22⋊Q8—1461no—
1304C22⋊Q8—1461no—
1305C22⋊Q8—1461no—
1306C22⋊Q8—1461no—
1307C22⋊Q8—1461no—
1308C22⋊Q8—1461no—
1309C22⋊Q8—1461no—
1310C22⋊Q8C22×D7311yescharacteristic
1311C22⋊Q8C22×D7311yescharacteristic
1312C22⋊Q8C22×D7311yescharacteristic
1313C22⋊Q8C22×D7311yescharacteristic
1314C22⋊Q8C22×D7311yescharacteristic
1315C22⋊Q8C22×D7311yescharacteristic
1316#121—21no—
1317#121—21no—
1318#121—21no—
1319#121—731no—
1320#121—731no—
1321#121—731no—
1322#121—731no—
1323#121—731no—
1324#121—731no—
1325#121—1461no—
1326#121—1461no—
1327#121—1461no—
1328#121—1461no—
1329#121—1461no—
1330#121—1461no—
1331#121—1461no—
1332#121—1461no—
1333#121—1461no—
1334#121—1461no—
1335#121—1461no—
1336#121—1461no—
1337#121—1461no—
1338#121—1461no—
1339#121—1461no—
1340#121—1461no—
1341#121—1461no—
1342#121—1461no—
1343#121—1461no—
1344#121—1461no—
1345#121—1461no—
1346#121—1461no—
1347#121—1461no—
1348#121—1461no—
1349#121—1461no—
1350#121C22×D7311yescharacteristic
1351#121C22×D7311yescharacteristic
1352#117—731no—
1353#117—731no—
1354#117—731no—
1355#117—1461no—
1356#117—1461no—
1357#117C22×D7311yescharacteristic
1358C2×C4⋊C4—731no—
1359C2×C4⋊C4—731no—
1360C2×C4⋊C4—731no—
1361C2×C4⋊C4—731no—
1362C2×C4⋊C4—731no—
1363C2×C4⋊C4—731no—
1364C2×C4⋊C4—731no—
1365C2×C4⋊C4—1461no—
1366C2×C4⋊C4—1461no—
1367C2×C4⋊C4—1461no—
1368C2×C4⋊C4—1461no—
1369C2×C4⋊C4—1461no—
1370C2×C4⋊C4—1461no—
1371C2×C4⋊C4—1461no—
1372C2×C4⋊C4—1461no—
1373C2×C4⋊C4—1461no—
1374C2×C4⋊C4C22×D7311yescharacteristic
1375C2×C22⋊C4—1461no—
1376C2×C22⋊C4—1461no—
1377C2×C22⋊C4—1461no—
1378C2×C22⋊C4—1461no—
1379C2×C22⋊C4—1461no—
1380C2×C22⋊C4—1461no—
1381C2×C22⋊C4—1461no—
1382C2×C22⋊C4—1461no—
1383C2×C22⋊C4—1461no—
1384C2×C42—1461no—
1385#107—731no—
1386#107—731no—
1387#107—731no—
1388#107—731no—
1389#107—731no—
1390#107—731no—
1391#107C22×D7311yescharacteristic
1392#107C22×D7311yescharacteristic
1393#106—731no—
1394#106—731no—
1395#106—731no—
1396#106—731no—
1397#106—731no—
1398#106—731no—
1399#106C22×D7311yescharacteristic
1400#106C22×D7311yescharacteristic
1401#103—731no—
1402#103—731no—
1403#103—731no—
1404#103—731no—
1405#103—731no—
1406#103—731no—
1407#103—731no—
1408#103—731no—
1409#103—731no—
1410#103—731no—
1411#103—731no—
1412#103—731no—
1413#103—731no—
1414#103—731no—
1415#103—731no—
1416#103—731no—
1417#103—731no—
1418#103—731no—
1419#103C22×D7311yescharacteristic
1420#103C22×D7311yescharacteristic
1421#103C22×D7311yescharacteristic
1422#103C22×D7311yescharacteristic
1423#103C22×D7311yescharacteristic
1424#103C22×D7311yescharacteristic
1425#102—731no—
1426#102—731no—
1427#102—731no—
1428#102—731no—
1429#102—731no—
1430#102—731no—
1431#102C22×D7311yescharacteristic
1432#102C22×D7311yescharacteristic
1433C22⋊C8—731no—
1434C22⋊C8—731no—
1435C22⋊C8—731no—
1436C22⋊C8—731no—
1437C22⋊C8—731no—
1438C22⋊C8—731no—
1439C22⋊C8—731no—
1440C22⋊C8—731no—
1441C22⋊C8—731no—
1442C22⋊C8—731no—
1443C22⋊C8—731no—
1444C22⋊C8—731no—
1445C22⋊C8C22×D7311yescharacteristic
1446C22⋊C8C22×D7311yescharacteristic
1447C22⋊C8C22×D7311yescharacteristic
1448C22⋊C8C22×D7311yescharacteristic
1449C24—731no—
1450C24—731no—
1451C24—731no—
1452C24—1461no—
1453#41—41no—
1454#41—41no—
1455#41—41no—
1456#41—41no—
1457#41—2921no—
1458#41—2921no—
1459#41—2921no—
1460#41—2921no—
1461#41—2921no—
1462#41—2921no—
1463#41—2921no—
1464#41—2921no—
1465#41—2924no—
1466#41—2921no—
1467#41—2921no—
1468#41—2924no—
1469#41—2921no—
1470#41—2921no—
1471#41—2922no—
1472#41—2922no—
1473#41—2922no—
1474#41—2922no—
1475C2×Q8—21no—
1476C2×Q8—41no—
1477C2×Q8—41no—
1478C2×Q8—2921no—
1479C2×Q8—2921no—
1480C2×Q8—2924no—
1481C2×Q8—2921no—
1482C2×Q8—2921no—
1483C2×Q8—2921no—
1484C2×Q8—2921no—
1485C2×Q8—2924no—
1486C2×Q8—2924no—
1487C2×Q8—2922no—
1488C2×Q8—731no—
1489C2×Q8—731no—
1490C2×Q8—731no—
1491C2×Q8—731no—
1492C2×Q8—731no—
1493C2×Q8—731no—
1494C2×Q8—1461no—
1495C2×Q8—1461no—
1496C2×Q8—1461no—
1497C2×Q8—1461no—
1498C2×Q8—1461no—
1499C2×Q8—1462no—
1500C2×Q8—1462no—
1501C2×Q8—1462no—
1502C2×Q8—1462no—
1503C2×Q8—1462no—
1504C2×Q8—1462no—
1505C2×Q8—1461no—
1506C2×Q8D4×D7311yescharacteristic
1507C2×Q8C23×D7311yescharacteristic
1508C2×Q8C23×D7311yescharacteristic
1509C2×Q8C23×D7311yescharacteristic
1510C2×D4—21no—
1511C2×D4—21no—
1512C2×D4—21no—
1513C2×D4—2924no—
1514C2×D4—2922no—
1515C2×D4—2922no—
1516C2×D4—2922no—
1517C2×D4—5842no—
1518C2×D4—5842no—
1519C2×D4—731no—
1520C2×D4—731no—
1521C2×D4—731no—
1522C2×D4—731no—
1523C2×D4—731no—
1524C2×D4—731no—
1525C2×D4—731no—
1526C2×D4—731no—
1527C2×D4—731no—
1528C2×D4—731no—
1529C2×D4—1461no—
1530C2×D4—1461no—
1531C2×D4—1461no—
1532C2×D4—1462no—
1533C2×D4—1462no—
1534C2×D4—1461no—
1535C2×D4—1461no—
1536C2×D4—1461no—
1537C2×D4—1461no—
1538C2×D4—1461no—
1539C2×D4—1461no—
1540C2×D4—1461no—
1541C2×D4D4×D7311yescharacteristic
1542C2×D4D4×D7311yescharacteristic
1543C2×D4D4×D7311yescharacteristic
1544C2×D4C23×D7311yescharacteristic
1545C22×C4—21no—
1546C22×C4—21no—
1547C22×C4—21no—
1548C22×C4—2924no—
1549C22×C4—2924no—
1550C22×C4—5842no—
1551C22×C4—731no—
1552C22×C4—731no—
1553C22×C4—731no—
1554C22×C4—731no—
1555C22×C4—731no—
1556C22×C4—731no—
1557C22×C4—731no—
1558C22×C4—731no—
1559C22×C4—731no—
1560C22×C4—731no—
1561C22×C4—731no—
1562C22×C4—731no—
1563C22×C4—731no—
1564C22×C4—1461no—
1565C22×C4—1461no—
1566C22×C4—1461no—
1567C22×C4—1461no—
1568C22×C4—1461no—
1569C22×C4—1461no—
1570C22×C4—1461no—
1571C22×C4—1461no—
1572C22×C4—1461no—
1573C22×C4—1461no—
1574C22×C4—1461no—
1575C22×C4—1461no—
1576C22×C4—1462no—
1577C22×C4—1462no—
1578C22×C4—1462no—
1579C22×C4—1462no—
1580C22×C4—1462no—
1581C22×C4—1462no—
1582C22×C4—1461no—
1583C22×C4—1461no—
1584C22×C4—1461no—
1585C22×C4—1461no—
1586C22×C4C23×D7311yescharacteristic
1587C22×C4C23×D7311yescharacteristic
1588C22×C4C23×D7311yescharacteristic
1589Q16—41no—
1590Q16—41no—
1591Q16—2921no—
1592Q16—2921no—
1593Q16—2921no—
1594Q16—2921no—
1595Q16—2921no—
1596Q16—2921no—
1597SD16—41no—
1598SD16—41no—
1599SD16—2921no—
1600SD16—2921no—
1601SD16—2921no—
1602SD16—2921no—
1603SD16—2921no—
1604SD16—2921no—
1605M16—41no—
1606M16—2921no—
1607M16—2921no—
1608M16—2921no—
1609C2×C8—41no—
1610C2×C8—2921no—
1611C2×C8—2921no—
1612C2×C8—2921no—
1613C2×C8—731no—
1614C2×C8—731no—
1615C2×C8—731no—
1616C2×C8—731no—
1617C2×C8—1462no—
1618C2×C8—1462no—
1619C2×C8—1462no—
1620C2×C8—1462no—
1621C2×C8C23×D7311yescharacteristic
1622C2×C8C23×D7311yescharacteristic
1623C2×C8C23×D7311yescharacteristic
1624C2×C8C23×D7311yescharacteristic
1625C4⋊C4—21no—
1626C4⋊C4—21no—
1627C4⋊C4—21no—
1628C4⋊C4—21no—
1629C4⋊C4—21no—
1630C4⋊C4—21no—
1631C4⋊C4—21no—
1632C4⋊C4—731no—
1633C4⋊C4—731no—
1634C4⋊C4—731no—
1635C4⋊C4—731no—
1636C4⋊C4—1461no—
1637C4⋊C4—1461no—
1638C4⋊C4—1461no—
1639C4⋊C4—1461no—
1640C4⋊C4—1461no—
1641C4⋊C4—1461no—
1642C4⋊C4—1461no—
1643C4⋊C4—1461no—
1644C4⋊C4—1461no—
1645C4⋊C4—1461no—
1646C4⋊C4—1461no—
1647C4⋊C4—1461no—
1648C4⋊C4—1461no—
1649C4⋊C4—1461no—
1650C4⋊C4—1461no—
1651C4⋊C4—1461no—
1652C4⋊C4—1461no—
1653C4⋊C4—1461no—
1654C4⋊C4—1461no—
1655C4⋊C4—1461no—
1656C4⋊C4—1461no—
1657C4⋊C4—1461no—
1658C4⋊C4—1461no—
1659C4⋊C4—1461no—
1660C4⋊C4—1461no—
1661C4⋊C4C23×D7311yescharacteristic
1662C4⋊C4C23×D7311yescharacteristic
1663C4⋊C4C23×D7311yescharacteristic
1664C4⋊C4C23×D7311yescharacteristic
1665C22⋊C4—21no—
1666C22⋊C4—21no—
1667C22⋊C4—21no—
1668C22⋊C4—21no—
1669C22⋊C4—21no—
1670C22⋊C4—21no—
1671C22⋊C4—21no—
1672C22⋊C4—21no—
1673C22⋊C4—21no—
1674C22⋊C4—1461no—
1675C22⋊C4—1461no—
1676C22⋊C4—1461no—
1677C22⋊C4—1461no—
1678C22⋊C4—1461no—
1679C22⋊C4—1461no—
1680C22⋊C4—1461no—
1681C22⋊C4—1461no—
1682C22⋊C4—1461no—
1683C22⋊C4—1461no—
1684C22⋊C4—1461no—
1685C22⋊C4—1461no—
1686C22⋊C4—1461no—
1687C22⋊C4—1461no—
1688C22⋊C4—1461no—
1689C22⋊C4—1461no—
1690C22⋊C4—1461no—
1691C22⋊C4—1461no—
1692C22⋊C4—1461no—
1693C22⋊C4—1461no—
1694C22⋊C4—1461no—
1695C22⋊C4—1461no—
1696C22⋊C4—1461no—
1697C22⋊C4—1461no—
1698C22⋊C4—1461no—
1699C22⋊C4—1461no—
1700C22⋊C4—1461no—
1701C42—21no—
1702C42—1461no—
1703C42—1461no—
1704C42—1461no—
1705C23—21no—
1706C23—2922no—
1707C23—2922no—
1708C23—2922no—
1709C23—731no—
1710C23—731no—
1711C23—731no—
1712C23—731no—
1713C23—1462no—
1714C23—1462no—
1715C23—1462no—
1716C23—1462no—
1717C23—1462no—
1718C23—1462no—
1719C23—1462no—
1720C23—1462no—
1721C23—1462no—
1722C23—1461no—
1723C23C2×D4×D7311yescharacteristic
1724C23C2×D4×D7311yescharacteristic
1725C23C2×D4×D7311yescharacteristic
1726Q8—21no—
1727Q8—21no—
1728Q8—21no—
1729Q8—21no—
1730Q8—21no—
1731Q8—21no—
1732Q8—41no—
1733Q8—42no—
1734Q8—2922no—
1735Q8—2921no—
1736Q8—2921no—
1737Q8—2921no—
1738Q8—2922no—
1739Q8—2922no—
1740Q8—2922no—
1741Q8—2922no—
1742Q8—2922no—
1743Q8—1461no—
1744Q8—1461no—
1745Q8—1461no—
1746Q8—1461no—
1747Q8—1461no—
1748Q8—1461no—
1749D4—21no—
1750D4—21no—
1751D4—41no—
1752D4—41no—
1753D4—41no—
1754D4—42no—
1755D4—81no—
1756D4—81no—
1757D4—2921no—
1758D4—2921no—
1759D4—2921no—
1760D4—2922no—
1761D4—2922no—
1762D4—2922no—
1763D4—2922no—
1764D4—2921no—
1765D4—2921no—
1766D4—2921no—
1767D4—2921no—
1768D4—2921no—
1769D4—2921no—
1770D4—5841no—
1771D4—5841no—
1772D4—5841no—
1773D4—5841no—
1774D4—5841no—
1775D4—5841no—
1776D4—1461no—
1777D4—1461no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—21no—
1782C2×C4—21no—
1783C2×C4—21no—
1784C2×C4—21no—
1785C2×C4—21no—
1786C2×C4—21no—
1787C2×C4—21no—
1788C2×C4—21no—
1789C2×C4—21no—
1790C2×C4—21no—
1791C2×C4—42no—
1792C2×C4—42no—
1793C2×C4—81no—
1794C2×C4—2922no—
1795C2×C4—2922no—
1796C2×C4—2922no—
1797C2×C4—2922no—
1798C2×C4—2922no—
1799C2×C4—2922no—
1800C2×C4—2922no—
1801C2×C4—2922no—
1802C2×C4—2922no—
1803C2×C4—2922no—
1804C2×C4—2922no—
1805C2×C4—2922no—
1806C2×C4—2922no—
1807C2×C4—5841no—
1808C2×C4—5841no—
1809C2×C4—5841no—
1810C2×C4—731no—
1811C2×C4—732no—
1812C2×C4—732no—
1813C2×C4—731no—
1814C2×C4—731no—
1815C2×C4—731no—
1816C2×C4—1462no—
1817C2×C4—1462no—
1818C2×C4—1462no—
1819C2×C4—1462no—
1820C2×C4—1462no—
1821C2×C4—1462no—
1822C2×C4—1461no—
1823C2×C4—1461no—
1824C2×C4—1461no—
1825C2×C4—1461no—
1826C2×C4—1461no—
1827C2×C4—1461no—
1828C2×C4—1461no—
1829C2×C4—1462no—
1830C2×C4—1462no—
1831C2×C4—1462no—
1832C2×C4—1461no—
1833C2×C4—1461no—
1834C2×C4—1461no—
1835C2×C4—1461no—
1836C2×C4—1461no—
1837C2×C4—1461no—
1838C2×C4C2×D4×D7311yescharacteristic
1839C2×C4C2×D4×D7311yescharacteristic
1840C2×C4C2×D4×D7311yescharacteristic
1841C2×C4C24×D7311yescharacteristic
1842C8—21no—
1843C8—21no—
1844C8—21no—
1845C8—21no—
1846C8—1461no—
1847C8—1461no—
1848C8—1461no—
1849C8—1461no—
1850C22—21no—
1851C22—21no—
1852C22—21no—
1853C22—21no—
1854C22—21no—
1855C22—21no—
1856C22—21no—
1857C22—21no—
1858C22—21no—
1859C22—41no—
1860C22—41no—
1861C22—41no—
1862C22—2924no—
1863C22—2924no—
1864C22—2924no—
1865C22—2921no—
1866C22—2921no—
1867C22—2921no—
1868C22—5844no—
1869C22—732no—
1870C22—732no—
1871C22—732no—
1872C22—1461no—
1873C22—1461no—
1874C22—1461no—
1875C22—1461no—
1876C22—1461no—
1877C22—1461no—
1878C22—1461no—
1879C22—1461no—
1880C22—1461no—
1881C22C22×D4×D7311yescharacteristic
1882C4—21no—
1883C4—21no—
1884C4—21no—
1885C4—41no—
1886C4—41no—
1887C4—41no—
1888C4—41no—
1889C4—41no—
1890C4—41no—
1891C4—41no—
1892C4—2921no—
1893C4—2921no—
1894C4—2921no—
1895C4—2921no—
1896C4—2921no—
1897C4—2921no—
1898C4—2921no—
1899C4—732no—
1900C4—1461no—
1901C4—1461no—
1902C4—1461no—
1903C4H(5,𝔽2)×D7311yescharacteristic
1904C4H(5,𝔽2)×D7311yescharacteristic
1905C2—41no—
1906C2—41no—
1907C2—41no—
1908C2—81no—
1909C2—2921no—
1910C2—2921no—
1911C2—2921no—
1912C2—5841no—
1913C2—734no—
1914C2#534×D7311yescharacteristic
1915C2#577×D7311yescharacteristic
1916C2#578×D7311yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3201C2
socleC22×C73C23×D4
prime radical#537×D73C2
hypercenter#3201D73
hypocenterC73C2×#3201
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C2×#41 ◁ #3201

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
2. #536×D73C2semidirect
3. #22620820C2semidirect
4. #22620819C2semidirect
5. #22620818C2semidirect
6. #22620817C2semidirect
7. #22620816C2semidirect
8. #22620815C2semidirect
9. #22620814C2semidirect
10. #22620813C2semidirect
11. #22620812C2semidirect
12. #22620811C2semidirect
13. #22620810C2semidirect
14. #22620809C2semidirect
15. #22620808C2semidirect
16. #22620807C2semidirect
17. #22620806C2semidirect
18. #484×D73C2semidirect
19. #485×D73C2semidirect
20. #482×D73C2semidirect
21. #483×D73C2semidirect
22. #470×D73C2semidirect
23. #468×D73C2semidirect
24. #467×D73C2semidirect
25. #465×D73C2semidirect
26. #452×D73C2semidirect
27. #452×D73C2semidirect
28. #451×D73C2semidirect
29. #448×D73C2semidirect
30. #408×D73C2semidirect
31. C73×#3201C2semidirect
52. #17989163C22semidirect
54. #17989161C22semidirect
55. #17989160C22semidirect
56. #17989160C22semidirect
57. #17989160C22semidirect
58. #17989160C22semidirect
61. #17989158C22semidirect
81. #17988931C22semidirect
82. #17988930C22semidirect
83. #17988929C22semidirect
84. #17988928C22semidirect
85. #17988927C22semidirect
86. #17988926C22semidirect
87. #17988925C22semidirect
88. #17988924C22semidirect
89. #17988924C22semidirect
90. #17988923C22semidirect
91. #17988922C22semidirect
92. #17988921C22semidirect
93. #17988921C22semidirect
94. #17988920C22semidirect
95. #17988919C22semidirect
96. #17988919C22semidirect
97. #17988918C22semidirect
98. #17988917C22semidirect
99. #17988916C22semidirect
100. #17988916C22semidirect
101. #17988915C22semidirect
102. #17988914C22semidirect
103. #17988913C22semidirect
104. #17988912C22semidirect
105. #17988911C22semidirect
106. #17988910C22semidirect
107. #17988909C22semidirect
108. #17988908C22semidirect
109. #17988846C22semidirect
110. #17988845C22semidirect
111. #17988844C22semidirect
112. #17988844C22semidirect
113. #17988843C22semidirect
114. #17988843C22semidirect
115. #17988842C22semidirect
116. #17988836C22semidirect
117. #17988835C22semidirect
118. #17988834C22semidirect
119. #17988833C22semidirect
120. #17988832C22semidirect
121. #17988831C22semidirect
122. #17988830C22semidirect
123. #17988829C22semidirect
124. #17988828C22semidirect
125. #17988827C22semidirect
126. #17988827C22semidirect
127. #17988826C22semidirect
128. #17988826C22semidirect
129. #17988825C22semidirect
130. #17988819C22semidirect
131. #17988818C22semidirect
132. #17988817C22semidirect
133. #17988816C22semidirect
134. #17988815C22semidirect
135. #17988814C22semidirect
136. #17988813C22semidirect
137. #17988752C22semidirect
138. #17988752C22semidirect
139. #17988751C22semidirect
140. #17988751C22semidirect
141. #17988750C22semidirect
142. #17988750C22semidirect
143. #17988749C22semidirect
144. #17988749C22semidirect
145. #17988748C22semidirect
146. #17988748C22semidirect
147. #17988747C22semidirect
148. #17988747C22semidirect
149. #17988746C22semidirect
150. #17988746C22semidirect
151. #17988745C22semidirect
152. #17988744C22semidirect
153. #17988744C22semidirect
154. #17988743C22semidirect
155. #17988742C22semidirect
156. #17988741C22semidirect
157. #17988741C22semidirect
158. #17988728C22semidirect
159. #17988727C22semidirect
160. #17988727C22semidirect
161. #17988726C22semidirect
162. #17988725C22semidirect
163. #17988724C22semidirect
164. #17988724C22semidirect
177. #17988555C22semidirect
178. #17988554C22semidirect
179. #17988553C22semidirect
180. #17988552C22semidirect
181. #17988552C22semidirect
182. #17988552C22semidirect
183. #17988552C22semidirect
189. #536×C73C22semidirect
190. #485×C73C22semidirect
191. #484×C73C22semidirect
192. #483×C73C22semidirect
193. #482×C73C22semidirect
194. #470×C73C22semidirect
195. #468×C73C22semidirect
196. #467×C73C22semidirect
197. #465×C73C22semidirect
198. #452×C73C22semidirect
199. #452×C73C22semidirect
200. #451×C73C22semidirect
201. #448×C73C22semidirect
202. #408×C73C22semidirect
958. D73#3201direct (N × H)
976. #3201D73direct (N × H)
990. C73C2×#3201semidirect
1023. #536C2×D73semidirect
1049. #485C2×D73semidirect
1057. #484C2×D73semidirect
1065. #483C2×D73semidirect
1073. #482C2×D73semidirect
1081. #470C2×D73semidirect
1089. #468C2×D73semidirect
1097. #467C2×D73semidirect
1105. #465C2×D73semidirect
1120. #452C2×D73semidirect
1121. #452C2×D73semidirect
1129. #451C2×D73semidirect
1137. #448C2×D73semidirect
1157. #408C2×D73semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#537×D732
#536×D732
#226208202
#226208192
#226208182
#226208172
#226208162
#226208152
#226208142
#226208132
#226208122
#226208112
#226208102
#226208092
#226208082
#226208072
#226208062
#484×D732
#485×D732
#482×D732
#483×D732
#470×D732
#468×D732
#467×D732
#465×D732
#452×D732
#451×D732
#448×D732
#408×D732
C73×#32012
C2×#320173